This paper presents an extension to the classical Cones Intersection Technique, which was, and is, exhaustively used to estimate the spin axis direction of spin stabilized spacecraft. The resulting Optimal Cones Intersection Technique is derived from a demonstrated co-planarity condition and does not present ambiguities or singularities. The proposed method allows an optimal estimation of any o...

c 0000 American Mathematical Society 1052-1798/00 $1.00 + $.25 per page . We present a method for visualising and quantifying the relationship between a pair of gene and species trees that constructs a third tree termed the reconciled tree. Given a gene tree and a species tree the reconciled tree represents the history of the gene tree embedded within the species tree. The reconciled tree is co...

A sufficient condition is given that a certain drawing minimizes the crossing number. The condition is in terms of intersections in an arbitrary set system related to the drawing, and is like a correlation inequality.